Nondiffracting Bessel beams have been recently applied to single shot ultrafast laser processing of high aspect ratio nanochannels. We review the principles and benefits of nondiffracting Bessel beams for material processing, and we compare experimental results with numerical simulations. We show how the stationarity of nonlinear propagation of ultrafast laser pulses allows high aspect ratio ma...

We present a fully relativistic analysis of Bessel beams revealing some noteworthy features that are not explicit in the standard description. It is shown that there is a reference frame in which the field takes a particularly simple form, the wave appearing to rotate in circles. The concepts of polarization and angular momentum for Bessel beams is also reanalyzed.

We model the propagation of Gaussian and Bessel beams from ground through 22kmaltitude of atmospheric turbulence. We observe the Bessel beam has better performance based onRMS intensity error and the captured beam power.OCIS codes: (010.1300) Atmospheric propagation; (000.1330) Atmospheric turbulence.

Fractional Bessel processes are defined and considering the processes associated with fractional Bessel processes 1 2 1 ), ( )) ( ( ) ( 0 < < = ∫ H t dB s B sign t X H t H H ) ( ) ( ) ( 1 0 s dB s R B t Y j H d

The transformation from a time-dependent random walk to quantum mechanics converts a modi­ fied Bessel function into an ordinary one together with a phase factor e,ir/2 for each time the electron flips both direction and handedness. Causality requires the argument to be greater than the order of the Bessel function. Assuming equal probabilities for jumps ± 1 , the normalized modified Bessel fun...

In this paper, using a generalized translation operator, we prove theestimates for the generalized Fourier-Bessel transform in the space L2 on certainclasses of functions.